The tree diagram is constructed and attached below in the image.
First we have to make a choice out of 3 subjects, so the probability of choosing art as the first subject is 1/3.
Once we have chosen art as the first subject, we have two choices. So the probability of choosing each option now is 1/2. Thus, the probability of choosing math, science is 1/2.
The probability of choosing the projects in order of art, math, science = 1/3 x 1/2 = 1/6
Therefore, the probability that the projects are in order of art, math, science is 1/6 (one over 6). So first option gives the correct answer.
  
        
                    
             
        
        
        
Answer:
False. 
Step-by-step explanation:
This is NOT an example of a binomial random variable, because a binomial random variable can only have TWO possible outcomes: success or failure. In the case of rolling a die, there are SIX possible outcomes: 1, 2, 3, 4, 5, or 6. 
So, rolling a 6-sided die and counting the number of each outcome that occurs is NOT a binomial random variable. 
Hope this helps! 
 
        
             
        
        
        
Answer:  A) 480
Step-by-step explanation:
x=20 substitute in the two equations
48(20)+37 
24(20)+37
since the question said fewer , then you should subtract
48(20)+37 - 24(20)+37 = (960+37) - (480+37)
=923 - 443= 480
 
        
             
        
        
        
Answer:
6
Step-by-step explanation:
 
        
                    
             
        
        
        
Option D equal is your answer ☺️☺️☺️